Finding the Third Proportional to 74,527 and 109,414.50

Step by Step Solution

1. Step 1: Write the proportion equation
   74,527 : 109,414.50 = 109,414.50 : x
2. Step 2: Convert to fraction form
   74,527/109,414.50 = 109,414.50/x
3. Step 3: Cross multiply
   74,527x = 109,414.50 × 109,414.50
4. Step 4: Simplify right side
   74,527x = 11,971,532,810.25
5. Step 5: Solve for x
   x = 11,971,532,810.25/74,527
6. Step 6: Final answer
   x = 160,633.50